19147Re: [EMHL] Re: A Circle From Reflections In Incenter Cevians And Symmetries Of Vertices
- Aug 1, 2010Dear Jean-Pierre,
Thank you for interesting remark! It explains why a lot of central lines contain center T.
Other than my quite complicated original construction, may be there are some elegant smart constructions for these six concyclic points?
I am very happy if any one can find it!
Thank you and best regards,
Bui Quang Tuan
--- On Sun, 8/1/10, jpehrmfr <jean-pierre.ehrmann@...> wrote:
> From: jpehrmfr <jean-pierre.ehrmann@...>
> Subject: [EMHL] Re: A Circle From Reflections In Incenter Cevians And Symmetries Of Vertices
> To: Hyacinthos@yahoogroups.com
> Date: Sunday, August 1, 2010, 9:17 PM
> Dear Quang Tuan Bui
> > It is interesting that these six points are concyclic
> on one circle with center T.
> > Barycentrics of T:
> > a*(3*a*(a^2 - b^2 - c^2) - 2*(b + c)*(a - b + c)*(a +
> b - c) + 4*a*b*c) : :
> > Search value: +3.3876599710368
> We have IT = IO/3 Friendly. Jean-Pierre
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